Angles Between Matrices and Between Polynomials in Fractional Linear Systems and Electrical Circuits
Date
2020-02-24
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Видавництво Львівської політехніки
Lviv Politechnic Publishing House
Lviv Politechnic Publishing House
Abstract
Сформульовано поняття кутів між матрицями та між
поліномами дробових лінійних систем та електричних кіл.
Під час аналізу кутів між матрицями стану дробових лінійних систем засновано добуток Адамара з двох матриць.
Розглянуто також кути між матрицями та їх функції.
Досліджено кути між симетричною й несиметричною
частинами матриць. Проаналізовано кути між поліномами
передатних матриць дробових лінійних систем та встановлено їхні деякі нові властивості.
The notions of angles between matrices and between polynomials of fractional linear systems and electrical circuits are proposed. In analysis of angles between state matrices of fractional linear systems the Hadamard product of two matrices is applied. The angles between matrices and their functions are also addressed. The angles between symmetrical and asymmetrical part of matrices are investigated. The angles between polynomials of transfer matrices of fractional linear systems are analyzed and some new properties are established.
The notions of angles between matrices and between polynomials of fractional linear systems and electrical circuits are proposed. In analysis of angles between state matrices of fractional linear systems the Hadamard product of two matrices is applied. The angles between matrices and their functions are also addressed. The angles between symmetrical and asymmetrical part of matrices are investigated. The angles between polynomials of transfer matrices of fractional linear systems are analyzed and some new properties are established.
Description
Keywords
angle between matrices, polynomials, matrix function, linear, electrical circuit
Citation
Kaczorek T. Angles Between Matrices and Between Polynomials in Fractional Linear Systems and Electrical Circuits / Tadeusz Kaczorek // Computational Problems of Electrical Engineering. — Lviv : Lviv Politechnic Publishing House, 2020. — Vol 10. — No 1. — P. 1–10.